Which problems can I make?

2, 3 or 4 digits times 1 digit, and 2 or 3 digits times 2 digits.

Is there room for the working?

Yes. Problems with a two-digit bottom number have two lines for the partial products, then a line for the total.

What does the answer key show?

The final product, and for two-digit multipliers both partial products, so you can see where a mistake happened.

Why are there no zeros or ones in the bottom number?

Multiplying by 0 or 1 skips the real work, so every digit of the bottom number is 2 to 9.

Long Multiplication Worksheets: 2-Digit to 3-Digit by 2-Digit, With Answer Keys

Step by step

2 digits by 1. Multiply the ones, carry, then multiply the tens.
3 and 4 digits by 1. The same steps across more columns.
2 digits by 2. Two partial products, one for the ones and one for the tens, then add them.
3 digits by 2. Bigger numbers, the same method.

Times tables first

Long multiplication goes smoothly once the facts are automatic. If they are not yet, practise with the times tables worksheets alongside.

CAPS links

Grade 3Multiplies any number by 2, 3, 4, 5 and 10 to a total of 100.
Grade 4Multiplies at least 2-digit by 2-digit whole numbers, with mental facts to 10 × 10.
Grade 5Multiplies at least 3-digit by 2-digit whole numbers.
Grade 6Multiplies at least 4-digit by 3-digit numbers, with multiplying in columns named as a technique.

Before the column method, CAPS has learners break numbers down and use the distributive property: 547 × 45 is 547 × 40 plus 547 × 5. The two partial-product lines on these sheets record exactly those two parts, so children can see the link between the method they know and the column layout.

The largest problems here are 3 digits by 2 digits, the Grade 5 range. For the Grade 6 range of 4 digits by 3 digits, you will need other material.

Summarised in our own words from the DBE’s CAPS for Mathematics, Foundation Phase and Intermediate Phase Grades 4–6 (2011).